87 research outputs found
Asymptotic Estimates for Second Kind Generalized Stirling Numbers
Asymptotic formulas for the generalized Stirling numbers of the second kind with integer and real parameters are obtained and ranges of validity of the formulas are established. The generalizations of Stirling numbers considered here are generalizations along the line of Hsu and Shuie's unified generalization
Asymptotic Estimates for r
The r-Whitney numbers of the second kind are a generalization of all the Stirling-type numbers of the second kind which are in line with the unified generalization of Hsu and Shuie. In this paper, asymptotic formulas for r-Whitney numbers of the second kind with integer and real parameters are obtained and the range of validity of each formula is established
Matrix models for stationary Gromov-Witten invariants of the Riemann sphere
Inspired by recent formul\ae\ of Dubrovin, Yang, and Zagier, we interpret the
tau function enumerating stationary Gromov-Witten invariants of
as an isomonodromic tau function associated with a difference equation. As a
byproduct we obtain an analogue of the Kontsevich matrix model for this tau
function. A connection with the Charlier ensemble is also considered.Comment: v3: new appendix
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